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Preface
Table of Contents
Chapter 1. Error-Correcting Codes
Section 1. From the Alt Code to the Hamming Code
Section 2. Two Applications of the Hamming Code
Section 3. Reed-Muller Code
Chapter 2. Regular and Semi-regular Polyhedra
Section 1. Regular Polyhedra
Section 2. A Polyhedral Metamorphosis
Section 3. Semi-Regular Polyhedra
Chapter 3. Polyform Compatibility
Section 1. Tetris Number Theory
Section 2. Tetris Algebra
Section 3. Other Compatibility Problems
Chapter 4. Mathematical Chess Problems
Section 1. Adventures of an Apprentice Rook
Section 2. Martin Gardner's Royal Problem
Section 3. Knight Tours
Chapter 5. Mathematical Induction
Section 1. The Towers of Hanoi
Section 2. A Problem on Greatest Common Divisors
Section 3. Congo Bongo
Chapter 6. Number Triangles
Section 1. Pascal's Triangle
Section 2. Rascal's Triangle
Section 3. Triangles of Asbolute Difference
Chapter 7. Summation Formulae
Section 1. Sums of Powers of Integers
Section 2. Zig-Zag
Section 3. Two Great Escapes
Chapter 8. Finite Projective Geometries
Section 1. Lions and Ponies
Section 2. Star Wars
Section 3. Convenient Buildings
Chapter 9. Sharing Loots
Section 1. Sharing Jewels
Section 2. Sharing Gold and Silver
Section 3. Sharing Rum
Chapter 10. Puzzling Adventures
Section 1. Circuits Checking Circuits
Section 2. The Coach's Dilemma
Section 3. The Campers' Problem
Appendix Additional Problems.

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